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Finding the Fourth Proportional to 465,574.95, 642,445.56 and 261,593.46

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Solution

The fourth proportional to 465,574.95, 642,445.56 and 261,593.46 is: 360,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,574.95 : 642,445.56 = 261,593.46 : x
  2. Step 2: Convert to fraction form
    465,574.95/642,445.56 = 261,593.46/x
  3. Step 3: Cross multiply
    465,574.95x = 642,445.56 × 261,593.46
  4. Step 4: Simplify right side
    465,574.95x = 168,059,556,902.04
  5. Step 5: Solve for x
    x = 168,059,556,902.04/465,574.95
  6. Step 6: Final answer
    x = 360,972.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.